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,,(,200092):,,,:;;;:TG115.28+5;O241:A:100026656(2001)1120485204APPLICATIONOFNUMERICALANALYSISMETHODTOULTRASONICTESTINGTADe2an,HUANGRui2ju,LIUZhen2qing(InstituteofAcoustics,TongjiUniversity,Shanghai200092,China)Abstract:Areviewismadeontheapplicationofnumericalanalysismethodtoultrasonictestinginrecentyearsin2cludingfiniteelementmethod(FEM)andboundaryelementmethod(BEM)etc.BasedontheanalysisoftheadvantageandweaknessofFEMandBEM,FEM2BEMcombinationmethodhasbeensetupwhichismoreeffectiveforultrasonictesting.Keywords:Ultrasonictesting;Finiteelementmethod;Boundaryelementmethod;Numericalanalysis,,,,,,,,,,,,,,;,,:2001201222:(19604010),,,,11.1Hooke,,(,),Cijkluk,lj=i(i,j,k,l=x,y,z)(1)Cijkluiiuitwi(Cijkluk,lj-i)d=0(2)5842311200111NDTVol.23No.11Nov.2001©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.wiN,SeUe-2MeUe=Fe(3)Se,MeFeUeKeUe=Fe(4)Ke=Se-2Me[1]KU=F(5)UFLin[2];Alleyne[3]L(0,2),,,,;Moser[4],;Liu[5],;Karunasena[6],Lamb,,,,Lamb,Alleyne[7],Lamb,Lamb,Lamb,,,;,1.2,(1)Cki()ui()+S3ki(,x)uidS=Su3ki(,x)idS(6)SSi3ki,u3kin,HU=GQ(7)U2n2nQ2n2nn,H2n2nG2n2nHij=Sj3ij(,x)dSj+CijGij=Sju3ij(,x)dSj(8)CijKroneckerij=0ij1i=j,ij=0(i,j=x,y),(7),,(7),Hirose[8]Lamb,,;,,,Lamb,,Cho[9]Lamb,Lamb,,Lamb684:©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.,()1998,Rose[10],[11],,GreenLamb,[12]LambLamb,,RT,,,Ahn[13]V(z),Gauss,,,V(z)/V(z),,,Green,,,;,,,;,,,,2(),,,;,,,,,,,1,S1S2,S1S2,,12,2;2,2,,FQF=MQ(9)MM=eSiNTdSiTN,(9)(5)KU=MQ(10)UBI=UFI=UIQBI=-QBI=QI(11)BF(11),[14](HBHBI-GBI)UBUIQI=GBQB(12)(KFKFIMFI)UFUIQI=MFQF(13)(12)(13),HBHBI-GBI00KFIMFIKFUBUIQIUF=GB00MFQBQF(14)784:©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.(14)Ma[15],,[13],Liu[16],,,/V(z),3,,;,,,,,,,,,,,,:[1]KunduT,MaslovK.InterfaceinspectionbyLambwaves[J].IntJSolids&Structures,1997,34(29):3885-3901.[2]ShanLin,ItoT,KawashimaK,etal.SizingofaxialdefectsinpipeswithFEMsimulationofwavepropaga2tionandwavelettransformation[A].1998IEEEUltra2sonicsSymposium[C].SendaiJapan:1998.877-880.[3]AlleyneDN,LoweMJS,CawleyP.Thereflectionofguidedwavesfromcircumferentialnotchesinpipes[J].TransoftheASMEJAppliedMechanics,1998,65(2):635-641.[4]MoserF,JacobsLJ,QuJ.Modelingelasticwavepropa2gationinwaveguideswiththefiniteelementmethod[J].NDT&EInt,1999,32(2):225-234.[5]LiuSW,DattaSK.Scatteringofultrasonicwavebycracksinaplate[J].TransoftheASMEJApplMech,1993,60(2):352-357.[6]KarunasenaWM,LiewKM,KitipornchaiS.HybridanalysisofLambwavereflectionbyacrackatthefixededgeofacompositeplate[J].ComputMethodsApplMechEngrg,1995,125(1):221-233.[7]AlleyneDN,CawleyP.TheinteractionofLambwaveswithdefects[J].IEEETransUFFC,1992,39(3):381-397.[8]HiroseS,YamanoM.ScatteringanalysisandsimulationforLambwaveultrasonictesting[J].ReviewofProgressinQuantitativeNDE,1996,15(A):201-207.[9]ChoY,HongerholtDD,RoseJL.Lambwavescatteringanalysisforreflectorcharacterization[J].IEEETransUFFC,1997,44(1):44-52.[10]RoseJL,WenhaoZ,ChoY.Boundaryelementmodel2ingforguidedwavereflectionandtransmissionfactoranalysesindefectclassification[A].1998IEEEUltra2sonicsSymposium[C].SendaiJapan:1998.885-888.[11]WangLugen,ShenJianzhong.Scatteringofelasticwavesbyacrackinanisotropicplate[J].Ultrasonics,1997,35(6):451-457.[12]HuangRuiju,LiuZhenqing,TaDepan.Lambwavescatteringbydefectsinplates[A].8thInternationalWorkshoponModernAcousticsNDE[C].NanjingChina:2000.28-31.[13]AhnVS,AchenbachJD,LiZJ,etal.Numericalmod2elingoftheV(z)curveforathin2layer/substratecon2figuration[J].ResNondestrEval,1991,3(2):183-200.[14].[M].:,1989.[15]MaJ,LMeifeng.Anewmethodforcouplingofbound2aryelementandfiniteelementmethod[J].ApplMathModelling,1992,16(1):43-46.[16]LiuGR,AchenbachJD,KimJD,etal.Acombinedfi2niteelementmethod/boundaryelementmethodtech2niqueforV(z)curvesofanisotropic2layer/substrateconfigurations[J].JAcoustSocAm,1992,92(5):2734-2740.2001112124,,:©1995-2004TsinghuaTongfangOpticalDiscCo.,Ltd.Allrightsreserved.